Ratio and Proportion Class 7 Worksheet

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Ratio and Proportion Class 7 Worksheet 1

1. Fill in the blanks.

a. 25 : 45 = 5 : ___________

b. In a continued proportion, product of the extremes is equal to ___________ of the mean proportion.

c. If cost of 15 pens is Rs 90, then the cost of 35 pens is Rs ___________.

d. The ratio of the ages of two boys is 5 : 7. If elder one is 14 years old, the age of younger one is ___________.

e. The sum of two numbers which are in the ratio 4 : 5 is 90. The larger number is _________.

f. If 4 : 3 = 12 : x, then x = ___________

g. If x : 9 = 2 : 3, then x = ___________

h. 5 : 6 ___________ 4 : 5 (> or <)

i. 4 cm : 16 cm = 5 g : ___________ g

j. 100 km/hr : 80 km/hr = 5 : ___________

2. A certain amount of money is divided among three persons A, B and C. The ratio of A’s and B’s share is 3 : 4 and that of B’s and C’s is 8 : 9. Find A : C.

3. Choose the correct option.

a. A : B = 2 : 3 and B : C = 3 : 5, then A : C is

i. 2 : 5 ii. 3 : 5 iii. 5 : 3 iv. 5 : 2

b. In the ratio 2 : 3 if consequent is 90 cm, then antecedent is

i. 40 cm ii. 50 cm iii. 60 cm iv. 80 cm

c. If 5 men can do a work in 8 days, then 8 men will take

i. 5 days ii. 6 days iii. 8 days iv. 4 days

d. The ratio of the number of boys and girls in a club is 4 : 3. If the number of girls is 15, then total number is

i. 25 ii. 20 iii. 30 iv. 35

4. If 6 men dig a trench in 15 days. How many days will 9 men take to dig this same trench?

5. If x : y = 1/3 : 1/5 and y : z = 9 : 8, find x : z.

6. The ratio of the male and female workers in a workshop is 8 : 3. If the number of female workers is 405, find the number of male workers.1

7. If weight of 27 boxes is 1050 kg, find the weight of 36 boxes using method of proportion.

8. 20 wagon carry 560 tonnes of ore. How many wagons will be required to carry 840 tonnes of ore?

9. 5 men or 6 women can stitch 30 shirts in a day. How many shirts will be stitched by 8 men and 10 women?

10. In a camp, there is a provision for 2500 soldiers for 25 days. After 7 days, 500 more soldiers joined the camp. How many more days will the provision last?

11. The present age of father is three times his son’s age. 15 years hence father is twice as old as his son. Find the present age of father.

Ratio and Proportion Class 7 Worksheet 2

1. State true or false.

a. 4 : 7 = 28 : 49

b. 11 : 12 = 88 : 84

c. The mean proportion between 2¹/₂ and 5/8 is 1.25.

d. If the first and second proportional are 3 and 9 respectively, then the third proportional is 27.

e. If A : B = 2 : 3 and C : B = 7 : 6, then C : A = 7 : 4.

f. In a group of 75 students, the ratio of boys and girls is 3 : 2. The number of boys is 48.

g. If the ratio of ages of the father and the son at present is 3 : 2, five years hence it will be less than 3 : 2.

2. Fill in the blanks.

a. If 0.4 : x = x : 0.9, then x = ___________

b. Salary of 8 men : Salary of 7 men = Rs 40000 : ___________

c. If A : B = 5 : 6 and B : C = 3 : 4, then A : C = ___________

d. 3.5 : 4.2 = 5 : ___________

e. 10 : ___________ = 2 : 3

f. Cost of 16 pens : Cost of 7 pens = ___________ : Rs 28

3. A class consists of two sections A and B. The ratio of the boys and girls in the two sections is the same. If section A has 40 boys and 30 girls and section B has 24 girls, find

a. the ratio of the number of boys and girls in each section.

b. the number of boys in section B.

c. the ratio of the number of students of section A and section B.

4. Rs 81 is distributed between A and B in the ratio 4 : 5. Find the amount each of them gets.

5. Rs 1430 is divided among A, B and C in such a way that A gets half of what C gets and C gets three times as much as B gets. Find the share of each person.

6. The ratio of the present ages of two persons is 3 : 5. After 10 years, the ratio will be 5 : 7. Find their present ages.

7. In a partnership, the ratio of the capitals of two persons A and B is 4 : 5. If B’s contribution is Rs 200000, what is the total capital?

8. A distance of 52 km is represented on a map by 1.3 cm. What distance is represented by 7.8 cm on the same map?

9. The ratio of the capitals of two partners is 4 : 5. If the profit of the business is to be distributed in the same ratio, find the share each will get if total profit is ` 54000.

10. A large group of students is divided into three batches. The ratio of the number of students in the three batches is 5 : 7 : 13. If the largest batch contains 845 students, find the

a. total number of students.

b. number of students in the smallest batch.

11. Choose the correct option.

a. If 4 : 3 :: 16 : x, then x is

i. 9 ii. 12 iii. 14 iv. 8

b. If inverse of a ratio is 2 : 9, then the ratio is

i. 7 : 9 ii. 2 : 7 iii. 9 : 2 iv. 11 : 2

c. Two numbers are in the ratio 2 : 3. If smaller number is 8, then the larger one is

i. 15 ii. 12 iii. 9 iv. 10

d. The mean proportion between 3 and 48 is

i. 16 ii. 12. Iii. 9 iv. 6

Ratio and Proportion Class 7 Worksheet 3

1. Fill in the blanks.

a. 30 km/h is equal to ___________ m/sec.

b. If 5 men can do a piece of work in 16 days, then 8 men will complete it in ___________ days.

c. If 16 oranges costs Rs 96, then 7 oranges costs ___________.

d. Two cars are moving in the same direction with the speed of 30 km/hr and 40 km/hr respectively. The difference of distances covered by the two cars in 6 hours is ___________.

e. The speed of two cars moving in the same direction is 20 km/hr and 25 m/sec. If both run for 5 hours, the difference between the distance covered is ___________.

f. Cost of 56 m cloth is Rs 3024. Cost of 36 m of the same cloth is ___________.

2. Choose the correct option.

a. If the price of 23 gel pens is Rs 161, then price of 47 such pens is

i. Rs 429 ii. Rs 529 iii. Rs 329 iv. Rs 629

b. If a train of length 240 m take 12 seconds to cross an electric post, then its speed is

i. 72 km/hr ii. 60 km/hr iii. 48 km/hr iv. 36 km/hr

c. If 25 men can do a work in 12 days, then 30 men will take

i. 10 days ii. 9 days iii. 8 days iv. 6 days

d. If the cost of 144 toys is Rs 43920, how many toys may be bought for Rs 4880?

i. 9 ii. 8 iii. 16 iv. 12

e. If 16 men can do a work in 12 days, then the number of additional men required to complete in 8 days is

i. 9 men ii. 6 iii. 8 iv. 7

3. State true or false.

a. 15 m/sec is equal to 54 km/hr.

b. If 30 men can complete a piece of work in 8 days, then 12 men complete it in 15 days.

c. If the distance remains the same and time is reduced, then speed must be increased to cover a given distance.

4. A car covers a distance between two towns in one hour moving at a speed of 60 km/hr. What must be the speed of the car if it needs to cover the distance in 45 minutes?

5. A train 120 m long takes 30 seconds to cross a platform of length 180 m. Find the speed of the train.

6. Speed of a passenger train is 30 km/hr and that of an express train is 50 m/sec. Both start from station A at the same time runs for 3 hours. Find the difference in the distance covered.

7. An empty tank is filled with three pipes. One pipe can fill it in 4 hours and other two outlet pipes empty it in 10 hours and 8 hours respectively. If all three pipes are opened simultaneously. how much time is required to fill up the tank?

8. Two numbers are in the ratio 5 : 7 and their difference is 18. Find the numbers.

9. Sweets are distributed between two groups. If one group gets 35 sweets and other gets 25 sweets, find the ratio in which the sweets were distributed.

10. Find the mean proportional between 18 and 8.

11. 45 men can construct a long wall in 60 days. After 12 days, 9 more men joined. How many more days are required to construct the wall?

Ratio and Proportion Class 7 Worksheet 4

1. Fill in the blanks.

a. If cost of 36 m of cloth is Rs 504, then cost of 28 m is ___________.

b. A train of length 100 m takes 40 seconds to cross a platform of length 200 m. Speed of train is ___________.

c. If 45 men can do piece of work in 60 days, then 54 men will take ___________ days to complete the same work.

d. If 80 seconds is required to print 180 words, then in 1 minute ___________ words will be printed.

e. 16 men can dig a trench in 15 days. Number of men required to do the same in 6 days is ___________.

2. A can do a piece of work in 8 days and B in 6 days. They work together for 3 days and then B left. How many more days will A take to finish the work?

3. Choose the correct option.

a. A and B can do a piece of work in 4 days and 6 days respectively. The time required to complete the work if both worked together is

i. 1 35 days ii. 3 15 days iii. 2 25 days iv. 1 14 days

b. Wages of 4 workers for 12 days is Rs 11520. Wages of 5 workers working for 9 days is

i. Rs 14000 ii. Rs 10800 iii. Rs 11200 iv. Rs 16960

4. In a hostel, there is provision for 250 students lasting for 16 days. After 4 days, 50 students went for trekking. How many more days will the provision last?

5. 15 tractors can plough 24 acres of land in 8 days. How many tractors are required to plough 30 acres of land in 10 days?

6. To travel a distance of 800 km, a car requires 24 litres of fuel. How much fuel will be required to travel 625 km?

7. State true or false.

a. A pipe fills a tank in 6 hours and an outlet pipe empties it in 10 hours. The tank is filled in 15 hours.

b. A train 175 m in length is running at 17¹/₂ m/sec. It will cross a lamp post in 15 secs.

8. A thief snatched a purse and fled at a speed of 200 m/min and after running for 30 mins hid himself in a nearby hide out. A policeman started chasing the thief after 30 seconds and catches him after 20 minutes. What is the speed of the policeman?

9. A, B and C does a piece of work in 6, 8 and 12 days respectively. B started the work and worked for 12 days, then A and C started the work. How many days are required to complete the whole work?

MCQs Questions for Class 7 Maths